Question 844165
(2 - 4√6)(3 + 4√2)
= 2(3) + 2(4√2) - 4√6(3) - 4√6(4√2) {used distributive property or foil method}
= 6 - 8√2 - 12√6 - 16√12 {multiplied}
= 6 - 8√2 - 12√6 - 16√4 √3 {broke down √12}
= 6 - 8√2 - 12√6 - 16(2)√3 {evaluated the square root of 4}
= 6 - 8√2 - 12√6 - 32√3 {multiplied -16 by 2}
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